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Taylor series are basically Mclaurin series of a function horizontally translated by *a* units – or Mclaurin series are Taylor series without any translation. We have

This may be used if we want to have a series expansion that is converging quickly when x is close to some other value than 0. Let us for example look at ex again, but now cantered about 1. So we get

A graph of this is seen below for the first few terms of the expansion.

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